Recent questions and answers in Others / GO Civil

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1

GATE Civil 2024 Set 2 | Question: 1
A partial differential equation \[ \frac{\partial^{2} T}{\partial x^{2}}+\frac{\partial^{2} T}{\partial y^{2}}=0 \] is defined for the two-dimensional field $T: T(x, y)$ ... edge is maintained at $T=100$. The value of $T$ at the center of the domain is $50.0$ $62.5$ $75.0$ $87.5$

A partial differential equation\[\frac{\partial^{2} T}{\partial x^{2}}+\frac{\partial^{2} T}{\partial y^{2}}=0\]is defined for the two-dimensional field $T: T...

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2

GATE Civil 2024 Set 2 | Question: 2
The statements $\mathrm{P}$ and $\mathrm{Q}$ are related to matrices $\mathbf{A}$ and $\mathbf{B}$, which are conformable for both addition and multiplication. $\text{P}$ ... $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE

The statements $\mathrm{P}$ and $\mathrm{Q}$ are related to matrices $\mathbf{A}$ and $\mathbf{B}$, which are conformable for both addition and multiplication...

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3

GATE Civil 2024 Set 2 | Question: 3
The second derivative of a function $f$ is computed using the fourth-order Central Divided Difference method with a step length $h$. The CORRECT expression for the second derivative is $\frac{1}{12 h^{2}}\left[-f_{i+2}+16 f_{i+1}-30 f_{i}+16 f_{i-1}-f_{i-2}\right]$ ... $\frac{1}{12 h^{2}}\left[-f_{i+2}-16 f_{i+1}+30 f_{i}-16 f_{i-1}-f_{i-2}\right]$

The second derivative of a function $f$ is computed using the fourth-order Central Divided Difference method with a step length $h$.The CORRECT expression ...

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4

GATE Civil 2024 Set 2 | Question: 4
The function $f(x)=x^{3}-27 x+4,1 \leq x \leq 6$ has Maxima point Minima point Saddle point Inflection point

The function $f(x)=x^{3}-27 x+4,1 \leq x \leq 6$ hasMaxima pointMinima pointSaddle pointInflection point

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5

GATE Civil 2024 Set 2 | Question: 5
Consider two Ordinary Differential Equations $\text{(ODEs)}$: $\text{P}$: $\frac{d y}{d x}=\frac{x^{4}+3 x^{2} y^{2}+2 y^{4}}{x^{3} y}$ $\mathrm{Q}: \frac{d y}{d x}=\frac{-y^{2}}{x^{2}}$ Which one of the following options is ... $\mathrm{ODE}$. $\mathrm{P}$ is a nonhomogeneous $\mathrm{ODE}$ and $\mathrm{Q}$ is not an exact $\mathrm{ODE}$.

Consider two Ordinary Differential Equations $\text{(ODEs)}$:$\text{P}$: $\frac{d y}{d x}=\frac{x^{4}+3 x^{2} y^{2}+2 y^{4}}{x^{3} y}$$\mathrm{Q}: \frac{d y}{d x}=\frac{-...

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6

GATE Civil 2024 Set 2 | Question: 6
A $3 \mathrm{~m}$ long, horizontal, rigid, uniform beam $\mathrm{PQ}$ has negligible mass. The beam is subjected to a $3 \mathrm{kN}$ concentrated vertically downward force at $1 \mathrm{~m}$ from $\mathrm{P}$, as shown in the figure. The beam is resting on ... (in $\mathrm{kN} / \mathrm{m}$ ) for the spring at the end $\mathrm{Q}$ is $150$ $100$ $50$ $200$

A $3 \mathrm{~m}$ long, horizontal, rigid, uniform beam $\mathrm{PQ}$ has negligible mass. The beam is subjected to a $3 \mathrm{kN}$ concentrated vertically downward for...

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7

GATE Civil 2024 Set 2 | Question: 7
Consider the statements $\text{P}$ and $\text{Q}$. $\text{P}$: In a Pure project organization, the project manager maintains complete authority and has maximum control over the project. $\text{Q}$: A Matrix organization structure facilitates quick response to ... FALSE Both $\text{P}$ and $\text{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: In a Pure project organization, the project manager maintains complete authority and has maximum...

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8

GATE Civil 2024 Set 2 | Question: 8
For a thin-walled section shown in the figure, points $\text{P, Q}$, and $\text{R}$ are located on the major bending axis $\mathrm{X}-\mathrm{X}$ of the section. Point $\mathrm{Q}$ is located on the web whereas point $\text{S}$ is ... flange of the section. Qualitatively, the shear center of the section lies at $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$

For a thin-walled section shown in the figure, points $\text{P, Q}$, and $\text{R}$ are located on the major bending axis $\mathrm{X}-\mathrm{X}$ of the se...

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9

GATE Civil 2024 Set 2 | Question: 9
Consider the following data for a project of $300$ days duration. Budgeted Cost of Work Scheduled (BCWS) = Rs. $200$ Budgeted Cost of Work Performed (BCWP) = Rs. $150$ Actual Cost of Work Performed (ACWP) = Rs. $190$ The 'schedule variance' for the project is (-)Rs. $50$ (-)$50$ days (+)Rs. $50$ (+)$50$ days

Consider the following data for a project of $300$ days duration.Budgeted Cost of Work Scheduled (BCWS) = Rs. $200$Budgeted Cost of Work Performed (BCWP) =...

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10

GATE Civil 2024 Set 2 | Question: 10
A simply supported, uniformly loaded, two-way slab panel is torsionally unrestrained. The effective span lengths along the short span $\text{(x)}$ and long span $\text{(y)}$ directions of the panel are $l_{\mathrm{x}}$ and $l_{\mathrm{y}}$, respectively. The design ... $\left(l_{\mathrm{y}} / l_{\mathrm{x}}\right)^{2}$

A simply supported, uniformly loaded, two-way slab panel is torsionally unrestrained. The effective span lengths along the short span $\text{(x)}$ and long span $\text{(y...

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11

GATE Civil 2024 Set 2 | Question: 11
The structural design method that DOES NOT take into account the safety factors on the design loads is working stress method. load factor method. ultimate load method. limit state method.

The structural design method that DOES NOT take into account the safety factors on the design loads isworking stress method.load factor method.ultimate load method.limit ...

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12

GATE Civil 2024 Set 2 | Question: 12
The contact pressure distribution shown in the figure belongs to a rigid footing resting on a cohesionless soil. rigid footing resting on a cohesive soil. flexible footing resting on a cohesionless soil. flexible footing resting on a cohesive soil.

The contact pressure distribution shown in the figure belongs to arigid footing resting on a cohesionless soil.rigid footing resting on a cohesive soil.flexible footing r...

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13

GATE Civil 2024 Set 2 | Question: 13
Which one of the following saturated fine-grained soils can attain a negative Skempton's pore pressure coefficient $\text{(A)}$? Quick clays Normally-consolidated clays Lightly-consolidated clays Over-consolidated clays

Which one of the following saturated fine-grained soils can attain a negative Skempton's pore pressure coefficient $\text{(A)}$?Quick claysNormally-consolidated claysLigh...

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14

GATE Civil 2024 Set 2 | Question: 14
The following figure shows a plot between shear stress and velocity gradient for materials/fluids $\text{P, Q, R, S}$, and $\text{T}$. Which one of the following options is CORRECT? $\mathrm{P} \rightarrow$ ... ; $\mathrm{Q} \rightarrow$ Newtonian fluid $\mathrm{R} \rightarrow$ Ideal Bingham plastic; $\mathrm{T} \rightarrow$ Ideal Fluid

The following figure shows a plot between shear stress and velocity gradient for materials/fluids $\text{P, Q, R, S}$, and $\text{T}$.Which one of the followi...

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15

GATE Civil 2024 Set 2 | Question: 15
What is the CORRECT match between the air pollutants and treatment techniques given in the table? \begin{array}{|l|l|} \hline \text{Air pollutants} & \text{Treatment techniques} \\ \hline \mathrm{P}-\mathrm{NO}_{2} & \text{i - Flaring} \\ \mathrm{Q}-\mathrm{SO}_{2} & ... $\text{P-ii, Q-iii, R-iv, S-i}$ $\text{P-iv, Q-iii, R-i, S-ii}$

What is the CORRECT match between the air pollutants and treatment techniques given in the table?\begin{array}{|l|l|}\hline \text{Air pollutants} & \text{Treatment techni...

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16

GATE Civil 2024 Set 2 | Question: 16
Which one of the following products is NOT obtained in anaerobic decomposition of glucose? $\mathrm{CO}_{2}$ $\mathrm{CH}_{4}$ $\mathrm{H}_{2} \mathrm{~S}$ $\mathrm{H}_{2} \mathrm{O}$

Which one of the following products is NOT obtained in anaerobic decomposition of glucose?$\mathrm{CO}_{2}$$\mathrm{CH}_{4}$$\mathrm{H}_{2} \mathrm{~S}$$\mathrm{H}_{2} \m...

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17

GATE Civil 2024 Set 2 | Question: 17
The longitudinal sections of a runway have gradients as shown in the table. \begin{array}{|c|c|} \hline \text{End to end for sections of runway (m)} & \text{Gradient} (\%) \\ \hline 0 \text{to} 200 & +1.0 \\ \hline 200 \text{to} 600 & -1.0 \\ ... as $100 \mathrm{~m}$. The effective gradient of the runway is $0.02 \%$ $0.35 \%$ $0.28 \%$ $0.18 \%$

The longitudinal sections of a runway have gradients as shown in the table.\begin{array}{|c|c|}\hline \text{End to end for sections of runway (m)} & \text{Gradient} (\%) ...

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18

GATE Civil 2024 Set 2 | Question: 18
In general, the outer edge is raised above the inner edge in horizontal curves for Highways, Railways, and Taxiways Highways and Railways only Railways and Taxiways only Highways only

In general, the outer edge is raised above the inner edge in horizontal curves forHighways, Railways, and TaxiwaysHighways and Railways onlyRailways and Ta...

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19

GATE Civil 2024 Set 2 | Question: 19
Various stresses in jointed plain concrete pavement with slab size of $3.5 \mathrm{~m} \times 4.5 \mathrm{~m}$ are denoted as follows: Wheel load stress at interior $=S_{w l}^{i}$ Wheel load stress at edge $=S_{w l}^{e}$ Wheel load stress at corner $=S_{w l}^{c}$ Warping stress at ... $S_{w l}^{e}+S_{t}^{e}-S_{f}$ $S_{w l}^{c}+S_{t}^{c}+S_{f}$

Various stresses in jointed plain concrete pavement with slab size of $3.5 \mathrm{~m} \times 4.5 \mathrm{~m}$ are denoted as follows:Wheel load stress at interior $=S_{w...

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20

GATE Civil 2024 Set 2 | Question: 20
For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of a terrain at an average scale of $1: 13000$ using a camera. If the permissible flying height is assumed as $3000 \mathrm{~m}$ above a datum and the average terrain ... above the datum, the required focal length (in $\mathrm{mm}$ ) of the camera is $100$ $150$ $125$ $200$

For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of a terrain at an average scale of $1: 13000$ using a camera. If the...

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21

GATE Civil 2024 Set 2 | Question: 21
What is the CORRECT match between the survey instruments/parts of instruments shown in the table and the operations carried out with them? \begin{array}{|l|l|} \hline \text{Instruments/Parts of instruments} & \text{Operations} \\ \hline \text{P - Bubble tube} & \text{i - ... $\text{P-i, Q-iii, R-ii, S-iv}$ $\text{P-iii, Q-iv, R-i, S-ii}$

What is the CORRECT match between the survey instruments/parts of instruments shown in the table and the operations carried out with them?\begin{array}{|l|...

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22

GATE Civil 2024 Set 2 | Question: 22
To finalize the direction of a survey, four surveyors set up a theodolite at a station $\mathrm{P}$ and performed all the temporary adjustments. From the station $\mathrm{P}$, each of the surveyors observed the bearing to a tower located at station $Q$ with the same ... $30^{\circ} 30^{\prime} 00^{\prime \prime}$ $30^{\circ} 31^{\prime} 20^{\prime \prime}$

To finalize the direction of a survey, four surveyors set up a theodolite at a station $\mathrm{P}$ and performed all the temporary adjustments. From the station $\mathrm...

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23

GATE Civil 2024 Set 2 | Question: 23
The steel angle section shown in the figure has elastic section modulus of $150.92 \mathrm{~cm}^{3}$ about the horizontal $\mathrm{X}-\mathrm{X}$ axis, which passes through the centroid of the section. The shape factor of the section is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

The steel angle section shown in the figure has elastic section modulus of $150.92 \mathrm{~cm}^{3}$ about the horizontal $\mathrm{X}-\mathrm{X}$ axis, which passes throu...

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24

GATE Civil 2024 Set 2 | Question: 24
A reinforced concrete pile of $10 \mathrm{~m}$ length and $0.7 \mathrm{~m}$ diameter is embedded in a saturated pure clay with unit cohesion of $50 \mathrm{kPa}$. If the adhesion factor is $0.5$, the net ultimate uplift pullout capacity (in $\mathrm{kN}$ ) of the pile is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

A reinforced concrete pile of $10 \mathrm{~m}$ length and $0.7 \mathrm{~m}$ diameter is embedded in a saturated pure clay with unit cohesion of $50 \mathrm{kPa}$. If the ...

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25

GATE Civil 2024 Set 2 | Question: 25
A $2 \mathrm{~m}$ wide rectangular channel is carrying a discharge of $30 \mathrm{~m}^{3} / \mathrm{s}$ at a bed slope of $1$ in $300$. Assuming the energy correction factor as $1.1$ and acceleration due to gravity as $10 \mathrm{~m} / \mathrm{s}^{2}$, the critical depth of flow (in meters) is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

A $2 \mathrm{~m}$ wide rectangular channel is carrying a discharge of $30 \mathrm{~m}^{3} / \mathrm{s}$ at a bed slope of $1$ in $300$. Assuming the energy correction fac...

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26

GATE Civil 2024 Set 2 | Question: 26
In a sample of $100$ heart patients, each patient has $80 \%$ chance of having a heart attack without medicine $\mathrm{X}$. It is clinically known that medicine $\mathrm{X}$ reduces the probability of having a heart attack by $50 \%$. Medicine $\text{X}$ is ... $\mathrm{X}$ and has a heart attack is $40 \%$ $60 \%$ $20 \%$ $30 \%$

In a sample of $100$ heart patients, each patient has $80 \%$ chance of having a heart attack without medicine $\mathrm{X}$. It is clinically known that medicine $\mathrm...

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27

GATE Civil 2024 Set 2 | Question: 27
A linearly elastic beam of length $2 l$ with flexural rigidity $E I$ has negligible mass. A massless spring with a spring constant $k$ and a rigid block of mass $m$ ... $\sqrt{\frac{48 E I k}{\left(k l^{3}+48 E I\right) m}}$

A linearly elastic beam of length $2 l$ with flexural rigidity $E I$ has negligible mass. A massless spring with a spring constant $k$ and a rigid block of...

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28

GATE Civil 2024 Set 2 | Question: 28
A critical activity in a project is estimated to take $15$ days to complete at a cost of Rs. $30,000$. The activity can be expedited to complete in $12$ days by spending a total amount of Rs. $54,000$. Consider the statements $\text{P}$ ... $\mathrm{P}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

A critical activity in a project is estimated to take $15$ days to complete at a cost of Rs. $30,000$. The activity can be expedited to complete in $12$ days by ...

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29

GATE Civil 2024 Set 2 | Question: 29
A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio $(l / r)$ of $105$, where $l$ is the bar length and $r$ ... $298^{\circ} \mathrm{C}$ $85^{\circ} \mathrm{C}$ $400^{\circ} \mathrm{C}$ $250^{\circ} \mathrm{C}$

A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio $(l / r)$ of $105$, where $l$ is the bar length and $r$ is the radius ...

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30

GATE Civil 2024 Set 2 | Question: 30
Consider the statements $\mathrm{P}$ and $\mathrm{Q}$ related to the analysis/design of retaining walls. $\mathrm{P}$: When a rough retaining wall moves toward the backfill, the wall friction force/resistance mobilizes in upward direction along the wall. $\mathrm{Q}$ ... Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

Consider the statements $\mathrm{P}$ and $\mathrm{Q}$ related to the analysis/design of retaining walls.$\mathrm{P}$: When a rough retaining wall moves toward the backfil...

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31

GATE Civil 2024 Set 2 | Question: 31
A round-bottom triangular lined canal is to be laid at a slope of $1$ in $1500$, to carry a discharge of $25 \mathrm{~m}^{3} / \mathrm{s}$. The side slopes of the canal cross-section are to be kept at $1.25 \mathrm{H}: 1 \mathrm{~V}$. If Manning's roughness ... be in the range of $2.39$ to $2.42$ $1.94$ to $1.97$ $2.24$ to $2.27$ $2.61$ to $2.64$

A round-bottom triangular lined canal is to be laid at a slope of $1$ in $1500$, to carry a discharge of $25 \mathrm{~m}^{3} / \mathrm{s}$. The side slopes of the canal c...

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32

GATE Civil 2024 Set 2 | Question: 32
A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravity: $4.20$), is to be designed for treating water/wastewater. After backwashing, the ... than $0.64 \mathrm{~mm}$ and diameter of ilmenite particles is slightly less than $0.10 \mathrm{~mm}$.

A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravi...

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33

GATE Civil 2024 Set 2 | Question: 33
The consolidated data of a spot speed study for a certain stretch of a highway is given in the table. Speed range $(\mathrm{kmph})$ Number of observations $0-10$ $7$ $10-20$ $31$ $20-30$ $76$ $30-40$ $129$ $40-50$ $104$ $50-60$ $78$ ... $13$ $90-100$ $9$ The "upper speed limit" (in $\mathrm{kmph}$) for the traffic sign is $50$ $55$ $65$ $70$

The consolidated data of a spot speed study for a certain stretch of a highway is given in the table.Speed range $(\mathrm{kmph})$Number of observations...

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34

GATE Civil 2024 Set 2 | Question: 34
Three vectors $\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}$, and $\overrightarrow{\mathrm{r}}$ are given as \[ \begin{array}{c} \overrightarrow{\mathrm{p}}=\hat{\imath}+\hat{\jmath}+\hat{k} \\ \overrightarrow{\mathrm ...

Three vectors $\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}$, and $\overrightarrow{\mathrm{r}}$ are given as\[\begin{array}{c}\overrightarrow{\mathrm{p}}=\hat...

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35

GATE Civil 2024 Set 2 | Question: 35
Consider the statements $\text{P, Q,}$ and $\text{R}$. $\text{P}$: Compacted fine-grained soils with flocculated structure have isotropic permeability. $\text{Q}$ ... is TRUE $\mathrm{P}$ is TRUE and $\mathrm{R}$ is FALSE Both $\mathrm{Q}$ and $\mathrm{R}$ are FALSE

Consider the statements $\text{P, Q,}$ and $\text{R}$.$\text{P}$: Compacted fine-grained soils with flocculated structure have isotropic permeability.$\tex...

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36

GATE Civil 2024 Set 2 | Question: 36
In the context of pavement material characterization, the CORRECT statement(s) is/are The load penetration curve of $\text{CBR}$ test may need origin correction due to the non-vertical penetrating plunger of the loading machine. The toughness and hardness of ... total volume of air voids $\left(V_{v}\right)$ and total volume of bitumen $\left(V_{b}\right)$.

In the context of pavement material characterization, the CORRECT statement(s) is/areThe load penetration curve of $\text{CBR}$ test may need origin correctio...

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37

GATE Civil 2024 Set 2 | Question: 37
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is \[ i_{\text {eff }}=\lim _{m \rightarrow \infty}\left(1+\frac{0.05}{m}\right)^{m}-1 \] The effective interest rate (in percentage) is $\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is\[i_{\text {...

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38

GATE Civil 2024 Set 2 | Question: 38
Consider two matrices $\mathbf{A}=\left[\begin{array}{lll}2 & 1 & 4 \\ 1 & 0 & 3\end{array}\right]$ and $\mathbf{B}=\left[\begin{array}{cc}-1 & 0 \\ 2 & 3 \\ 1 & 4\end{array}\right]$. The determinant of the matrix $\mathbf{AB}$ is $\_\_\_\_\_\_\_$ (in integer).

Consider two matrices $\mathbf{A}=\left[\begin{array}{lll}2 & 1 & 4 \\ 1 & 0 & 3\end{array}\right]$ and $\mathbf{B}=\left[\begin{array}{cc}-1 & 0 \\ 2 & 3 \\ 1 & 4\end{ar...

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39

GATE Civil 2024 Set 2 | Question: 39
For the $6 \mathrm{~m}$ long horizontal cantilever beam $\mathrm{PQR}$ shown in the figure, $\mathrm{Q}$ is the midpoint. Segment $\mathrm{PQ}$ of the beam has flexural rigidity $\mathrm{EI}=2 \times 10^{5} \mathrm{kN. \textrm {m } ^ { 2 }}$ whereas the ... (in $\mathrm{mm}$ ) at point $\mathrm{Q}$ is $\_\_\_\_\_\_\_$ (rounded off to $3$ decimal places).

For the $6 \mathrm{~m}$ long horizontal cantilever beam $\mathrm{PQR}$ shown in the figure, $\mathrm{Q}$ is the midpoint. Segment $\mathrm{PQ}$ of the beam has flexural r...

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40

GATE Civil 2024 Set 2 | Question: 40
The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A concentrated vertically downward load $(V)$ of $10 \mathrm{kN}$ can act at any point over the ... $\mathrm{P}$ due to $V$ is $\_\_\_\_\_\_$ (in integer).

The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A conce...

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